Package cc.redberry.core.combinatorics.symmetries

Source Code of cc.redberry.core.combinatorics.symmetries.SymmetriesFactory

/*
* Redberry: symbolic tensor computations.
*
* Copyright (c) 2010-2012:
*   Stanislav Poslavsky   <stvlpos@mail.ru>
*   Bolotin Dmitriy       <bolotin.dmitriy@gmail.com>
*
* This file is part of Redberry.
*
* Redberry is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* Redberry is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with Redberry. If not, see <http://www.gnu.org/licenses/>.
*/
package cc.redberry.core.combinatorics.symmetries;

import cc.redberry.core.combinatorics.Combinatorics;
import cc.redberry.core.combinatorics.Symmetry;

/**
*
* @author Dmitry Bolotin
* @author Stanislav Poslavsky
*/
public class SymmetriesFactory {

    private final static Symmetries EmptySymmetries0 = new EmptySymmetries(0);
    private final static Symmetries EmptySymmetries1 = new EmptySymmetries(1);

    public static Symmetries createSymmetries(int dimension) {
        if (dimension < 0)
            throw new IllegalArgumentException();
        if (dimension == 0)
            return EmptySymmetries0;
        if (dimension == 1)
            return EmptySymmetries1;
        return new SymmetriesImpl(dimension);
    }

    public static Symmetries createFullSymmetries(int dimension) {
        if (dimension < 0)
            throw new IllegalArgumentException();
        if (dimension == 0)
            return EmptySymmetries0;
        if (dimension == 1)
            return EmptySymmetries1;
        return new FullSymmetries(dimension);
    }

    public static Symmetries createFullSymmetries(int upperCount, int lowerCount) {
        if (upperCount < 0 || upperCount < 0)
            throw new IllegalArgumentException();
        if (upperCount + lowerCount <= 1)
            return SymmetriesFactory.createSymmetries(upperCount + lowerCount);

        SymmetriesImpl symmetries = new SymmetriesImpl(upperCount + lowerCount);
       
        //TODO refactor
        //transposition
        int i;
        if (upperCount > 1) {
            int[] upperTransposition = Combinatorics.createIdentity(upperCount + lowerCount);
            upperTransposition[0] = 1;
            upperTransposition[1] = 0;
            Symmetry upperTranspositionSymmetry = new Symmetry(upperTransposition, false);
            symmetries.addUnsafe(upperTranspositionSymmetry);
        }

        if (lowerCount > 1) {
            int[] lowerTransposition = Combinatorics.createIdentity(upperCount + lowerCount);
            lowerTransposition[upperCount] = 1 + upperCount;
            lowerTransposition[upperCount + 1] = upperCount;
            Symmetry lowerTranspositionSymmetry = new Symmetry(lowerTransposition, false);
            symmetries.addUnsafe(lowerTranspositionSymmetry);
        }

        //cycle       
        if (upperCount > 2) {
            int[] upperCycle = new int[upperCount + lowerCount];
            upperCycle[0] = upperCount - 1;
            for (i = 1; i < upperCount; ++i)
                upperCycle[i] = i - 1;
            for (; i < upperCount + lowerCount; ++i)
                upperCycle[i] = i;
            Symmetry upperCycleSymmetry = new Symmetry(upperCycle, false);
            symmetries.addUnsafe(upperCycleSymmetry);
        }
        if (lowerCount > 2) {
            int[] lowerCycle = new int[upperCount + lowerCount];
            for (i = 0; i < upperCount; ++i)
                lowerCycle[i] = i;
            lowerCycle[upperCount] = upperCount + lowerCount - 1;
            ++i;
            for (; i < upperCount + lowerCount; ++i)
                lowerCycle[i] = i - 1;
            Symmetry lowerCycleSymmetry = new Symmetry(lowerCycle, false);
            symmetries.addUnsafe(lowerCycleSymmetry);
        }

        return symmetries;
    }
}
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